You got the idea.
I recommend you buy the genuine Dana Spicer gear sets, they are consistently better quality than the rest.
If you have not done a gear swap on a Dana type axle before you may want to have a knowledgeable shop do it, or someone help that knows what to do. I am sure you can do it yourself if you read the manuals, but it is a little tricky to get things set just right.
I don't know about the Dana 44, but most Dana axles require a different carrier when switching from 4.10 or faster to 5.56 or faster. That is the most common "carrier brake" but sometimes it is a different ratio that the carrier changes, depending on the axle model.
If you go over that break, then it is a good time to buy a locker or two.
Grigg